Results 21 to 30 of about 15,461 (245)
Transactions of the American Mathematical Society, 1989 Using the graph transform method, we give a geometric treatment of Pesin’s invariant manifold theory. Beyond deriving the existence, uniqueness, and smoothness results by Fathi, Herman, and Yoccoz our method allows us to do four things: optimally conserve smoothness, deal with endomorphisms, prove absolute continuity of the Pesin laminations, and ...
Pugh, Charles, Shub, Michael
openaire +1 more source
STRANGE NONCHAOTIC ATTRACTORS [PDF]
International Journal of Bifurcation and Chaos, 2001 Aperiodic dynamics which is nonchaotic is realized on Strange Nonchaotic Attractors (SNAs). Such attractors are generic in quasiperiodically driven nonlinear systems, and like strange attractors, are geometrically fractal. The largest Lyapunov exponent is zero or negative: trajectories do not show exponential sensitivity to initial conditions.
Prasad, Awadhesh +2 more
openaire +3 more sources
Generalized Iterated Function Systems on b-Metric Spaces
Mathematics, 2023 An iterated function system consists of a complete metric space (X,d) and a finite family of contractions f1,⋯,fn:X→X. A generalized iterated function system comprises a finite family of contractions defined on the Cartesian product Xm with values in X ...
Izabella Abraham, Radu Miculescu
doaj +1 more source
Nonsupersymmetric attractors [PDF]
Physical Review D, 2005 We consider theories with gravity, gauge fields and scalars in four-dimensional asymptotically flat space-time. By studying the equations of motion directly we show that the attractor mechanism can work for non-supersymmetric extremal black holes. Two conditions are sufficient for this, they are conveniently stated in terms of an effective potential ...
Goldstein, Kevin +3 more
openaire +2 more sources
Mathematics, 2022 The author of this article considers a numerical method that uses high-precision calculations to construct approximations to attractors of dynamical systems of chaotic type with a quadratic right-hand side, as well as to find the vertical asymptotes of ...
Alexander N. Pchelintsev
doaj +1 more source
Supersymmetry and attractors [PDF]
Physical Review D, 1996 20 pages, 2 figures, LaTeX. few misprints removed, version to appear in Phys.
Ferrara, Sergio, Kallosh, Renata
openaire +4 more sources
Frontiers in Physiology, 2018 Objective: To determine if the attractor for acceleration gait data is similar among healthy persons defining a reference attractor; if exercise-induced changes in the attractor in patients with symptomatic lumbar spinal stenosis (sLSS) are greater than ...
S. Kimberly Byrnes +10 more
doaj +1 more source
Are Grid-Like Representations a Component of All Perception and Cognition?
Frontiers in Neural Circuits, 2022 Grid cells or grid-like responses have been reported in the rodent, bat and human brains during various spatial and non-spatial tasks. However, the functions of grid-like representations beyond the classical hippocampal formation remain elusive. Based on
Zhe Sage Chen +3 more
doaj +1 more source
Role of Higher Education Institution in Spatial Polarization of Youth [PDF]
Экономика региона, 2019 The expansion of applicants’ opportunities for choosing a university, unfortunately, did not completely eliminate the spatial factor in the process of selecting an educational institution.
Niyaz Kamilevich Gabdrakhmanov +1 more
doaj +1 more source
Uniformly Random Attractor for the Three-Dimensional Stochastic Nonautonomous Camassa-Holm Equations
Abstract and Applied Analysis, 2013 We consider the uniformly random attractor for the three-dimensional stochastic nonautonomous Camassa-Holm equations in the periodic box in this paper.
Zhehao Huang, Zhengrong Liu
doaj +1 more source